Details

analyze1.6s (17.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample59.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
13.0ms	221×	body	80	invalid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify507.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (498.0ms)

Iter	Nodes	Cost
0	2663	28
1	2663	28

prune9.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.7b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 a (*.f64 b c))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
7.3b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`associate-r_binary64` `associate-*l/_binary64`
4×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 62

Calls

4 calls:

8.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))

series54.0ms (0.6%)

Counts

4 → 12

Calls

4 calls:

20.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
15.0ms	(.f64 (+.f64 a (.f64 b c)) c)
11.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 a (*.f64 b c))

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5023	978

prune81.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	68	6	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	7	75

Merged error: 1.3b

Counts

75 → 7

Compiler

Compiled 1899 to 544 computations (71.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
0.0b	(+.f64 a (*.f64 b c))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
6.2b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-*l/_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
2×	`diff-log_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))

series381.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

343.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
20.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))
11.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 a (*.f64 b c))

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5324	1658

prune77.0ms (0.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	69	9	78

Merged error: 1.3b

Counts

78 → 9

Compiler

Compiled 2127 to 533 computations (74.9% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
2.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
2.2b	(.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))
2.9b	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))

rewrite39.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
30×	`flip3-+_binary64` `pow1_binary64` `add-exp-log_binary64` `flip-+_binary64`
28×	`associate-*r/_binary64` `frac-times_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
14×	`associate-*l/_binary64`
9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
8.0ms	(.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))

series119.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))
28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
23.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5020	3122

prune113.0ms (1.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	113	11	124

Merged error: 1.2b

Counts

124 → 11

Compiler

Compiled 4847 to 1190 computations (75.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 a (.f64 b c))) 2) (.f64 c i)) (cbrt.f64 (+.f64 a (*.f64 b c))))
2.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
2.0b	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.9b	(.f64 (pow.f64 (cbrt.f64 (+.f64 a (.f64 b c))) 2) (*.f64 c i))

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64`
25×	`prod-exp_binary64`
15×	`add-cbrt-cube_binary64`
12×	`associate-l_binary64` `cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`cbrt-unprod_binary64`
7×	`associate-r_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `unpow-prod-down_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `pow1/3_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 82

Calls

4 calls:

14.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 a (.f64 b c))) 2) (.f64 c i)) (cbrt.f64 (+.f64 a (*.f64 b c))))
12.0ms	(.f64 (pow.f64 (cbrt.f64 (+.f64 a (.f64 b c))) 2) (*.f64 c i))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))

series178.0ms (2%)

Counts

4 → 12

Calls

4 calls:

103.0ms	(.f64 (pow.f64 (cbrt.f64 (+.f64 a (.f64 b c))) 2) (*.f64 c i))
28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
20.0ms	(.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 a (.f64 b c))) 2) (.f64 c i)) (cbrt.f64 (+.f64 a (*.f64 b c))))

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5062	1616

prune68.0ms (0.8%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	0	7	7
Picked	0	1	1
Done	0	3	3
Total	93	12	105

Merged error: 1.2b

Counts

105 → 12

Compiler

Compiled 3032 to 835 computations (72.5% saved)

regimes1.8s (20.2%)

Compiler: Compiled 4890 to 4100 computations (16.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	95	28
1	95	28

end0.0ms (0%)

sample3.4s (37.8%)

Algorithm

1×

intervals

Results

507.0ms	8000×	body	80	valid
438.0ms	7117×	body	80	invalid

Compiler

Compiled 360 to 299 computations (16.9% saved)

Details

analyze1.6s (17.9%)

sample59.0ms (0.7%)

simplify507.0ms (5.6%)

prune9.0ms (0.1%)

localize14.0ms (0.2%)

rewrite23.0ms (0.3%)

series54.0ms (0.6%)

simplify71.0ms (0.8%)

prune81.0ms (0.9%)

localize14.0ms (0.2%)

rewrite25.0ms (0.3%)

series381.0ms (4.2%)

simplify46.0ms (0.5%)

prune77.0ms (0.9%)

localize17.0ms (0.2%)

rewrite39.0ms (0.4%)

series119.0ms (1.3%)

simplify122.0ms (1.3%)

prune113.0ms (1.2%)

localize18.0ms (0.2%)

rewrite34.0ms (0.4%)

series178.0ms (2%)

simplify96.0ms (1.1%)

prune68.0ms (0.8%)

regimes1.8s (20.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample3.4s (37.8%)

Profiling